Tensor lattice field theory for renormalization and quantum computing

Y Meurice, R Sakai, J Unmuth-Yockey - Reviews of modern physics, 2022 - APS
The successes and limitations of statistical sampling for a sequence of models studied in the
context of lattice QCD are discussed and the need for new methods to deal with finite …

Simulating lattice gauge theories within quantum technologies

MC Banuls, R Blatt, J Catani, A Celi, JI Cirac… - The European physical …, 2020 - Springer
Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

Review on novel methods for lattice gauge theories

MC Banuls, K Cichy - Reports on Progress in Physics, 2020 - iopscience.iop.org
Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

General methods for digital quantum simulation of gauge theories

H Lamm, S Lawrence, Y Yamauchi… - Physical Review D, 2019 - APS
A general scheme is presented for simulating gauge theories, with matter fields, on a digital
quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is …

Gluon field digitization for quantum computers

A Alexandru, PF Bedaque, S Harmalkar, H Lamm… - Physical Review D, 2019 - APS
Simulations of gauge theories on quantum computers require the digitization of continuous
field variables. Digitization schemes that use the minimum amount of qubits are desirable …

Primitive quantum gates for an discrete subgroup: Binary tetrahedral

EJ Gustafson, H Lamm, F Lovelace, D Musk - Physical Review D, 2022 - APS
We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral
(BT) group on two quantum architectures. This non-Abelian discrete group serves as a crude …

Parton physics on a quantum computer

H Lamm, S Lawrence, Y Yamauchi… - Physical Review …, 2020 - APS
Parton distribution functions and hadronic tensors may be computed on a universal quantum
computer without many of the complexities that apply to Euclidean lattice calculations. We …

Gluon field digitization via group space decimation for quantum computers

Y Ji, H Lamm, S Zhu, (NuQS Collaboration) - Physical Review D, 2020 - APS
Efficient digitization is required for quantum simulations of gauge theories. Schemes based
on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this …

Prospects for simulating a qudit-based model of scalar QED

EJ Gustafson - Physical review D, 2021 - APS
We present a gauge invariant digitization of (1+ 1) d scalar quantum electrodynamics for an
arbitrary spin truncation for qudit-based quantum computers. We provide a construction of …

Primitive quantum gates for an discrete subgroup:

EJ Gustafson, Y Ji, H Lamm, EM Murairi, SO Perez… - Physical Review D, 2024 - APS
We construct the primitive gate set for the digital quantum simulation of the 108-element Σ
(36× 3) group. This is the first time a non-Abelian crystal-like subgroup of SU (3) has been …